%0 Journal Article %T Unimodality and convexity of f-vectors of polytopes %A Axel Werner %J Mathematics %D 2005 %I arXiv %X We consider unimodality and related properties of f-vectors of polytopes in various dimensions. By a result of Kalai (1988), f-vectors of 5-polytopes are unimodal. In higher dimensions much less can be said; we give an overview on current results and present a potentially interesting construction as well as a conjecture arising from this. %U http://arxiv.org/abs/math/0512131v1